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Finding the Fourth Proportional to 15,802.42, 21,808.00 and 9,088.05

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Solution

The fourth proportional to 15,802.42, 21,808.00 and 9,088.05 is: 12,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.42 : 21,808.00 = 9,088.05 : x
  2. Step 2: Convert to fraction form
    15,802.42/21,808.00 = 9,088.05/x
  3. Step 3: Cross multiply
    15,802.42x = 21,808.00 × 9,088.05
  4. Step 4: Simplify right side
    15,802.42x = 198,192,145.06
  5. Step 5: Solve for x
    x = 198,192,145.06/15,802.42
  6. Step 6: Final answer
    x = 12,541.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.